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Ordered bases, order-preserving automorphisms and bi-orderable link groups

2024/06/27 by Cai, Tommy Wuxing, Clay, Adam, Rolfsen, Dale
#06F15 #20F60 #57K30 #57M05 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2406.18876

Abstract

We give a new criterion which guarantees that a free group admits a bi-ordering that is invariant under a given automorphism. As an application, we show that the fundamental group of the "magic manifold" is bi-orderable, answering a question of Kin and Rolfsen.

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